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JCT
2006
102views more  JCT 2006»
14 years 9 months ago
Hamiltonicity in 3-connected claw-free graphs
Kuipers and Veldman conjectured that any 3-connected claw-free graph with order and minimum degree +6 10 is Hamiltonian for sufficiently large. In this paper, we prove that if...
Hong-Jian Lai, Yehong Shao, Mingquan Zhan
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
14 years 9 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche
DM
2008
94views more  DM 2008»
14 years 9 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
73
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JUCS
2007
120views more  JUCS 2007»
14 years 9 months ago
Hamiltonicity of Topological Grid Graphs
: In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of th...
Christina Zamfirescu, Tudor Zamfirescu
CCCG
2001
14 years 11 months ago
Segment endpoint visibility graphs are hamiltonian
We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. ...
Michael Hoffmann, Csaba D. Tóth